537561 has 6 divisors (see below), whose sum is σ = 776490. Its totient is φ = 358368.

The previous prime is 537547. The next prime is 537569. The reversal of 537561 is 165735.

537561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 447561 + 90000 = 669^2 + 300^2 .

It is not a de Polignac number, because 537561 - 2⁶ = 537497 is a prime.

It is an Ulam number.

537561 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (537569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29856 + ... + 29873.

It is an arithmetic number, because the mean of its divisors is an integer number (129415).

2⁵³⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

537561 is a deficient number, since it is larger than the sum of its proper divisors (238929).

537561 is a wasteful number, since it uses less digits than its factorization.

537561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59735 (or 59732 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 537561 is about 733.1855154052. The cubic root of 537561 is about 81.3097422547.

The spelling of 537561 in words is "five hundred thirty-seven thousand, five hundred sixty-one".